Leibniz Legible

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LBr. 560 · L'Hospital, fol. 26r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 29v); this page is its right half.

The machine reads it as

  1. du = b posito b dari utcunque ex X, habetur solutio ex quadratuis
  2. 1)
  3. Sit
  4. Sit jam y= qu +Y et habebimus Y dy = dv + dq + r 0 quam
  5. conferendo datae gdv +9BV + q) _) habebimus d9:q = β et b= dr- 9
  6. et possumus nega negligere Y, seu facere Y = 0, et et poret b = -9)
  7. et ( v et y = (qu Aev
  8. per2
  9. (6)
  10. itaque si sit dv + B∞ + γ = 0 fiet v = - s9y: q posito d9. 4 = β
  11. comprobatio qu = - sq). Ergo dqv + qdv = - gY seu dq v + dv + V = 0
  12. per sequentia, hac prima et secunda pagma nihul genfrale effectum
  13. vel BV + de +V = 0
  14. sed tera
  15. sit potro βVi de Y de OV +. 0 et v= 15qb: q ut 1 4)
  16. et fiat et d4.q- . faciamus v=
  17. dy = by + C erit y = Scq: 9
  18. posito dq: g = - b.
  19. sit y = hov + lv +m et dys d vD + h va h = 1Y
  20. 4. by = bhov + bl∞ + bm
  21. c B + dm - bm
  22. bl2 15 + al
  23. dy = -dhvp - dl V -dm - 2tiodo - ldv. (bhr = d h+ 1B. Ergo ex 10 per)
  24. +C =
  25. Ergu per fit exe VbI= VA (+ ldy AtB
  26. st aqualo data c = + IBW ISV+ IB =vt - laV
  27. Et ex uperu fiil Vd (VA = at laY HB
  28. seu fiet determinatio in datis Vd - β=16- dy
  29. (15)
  30. Ne Comprobemus, sit Aequatio resolvenda +35 vv + Dv + B - 2Y Vao - sv
  31. - V
  32. et m = 0) et y = scq: 9 et dg: 9 = - b Ergo y = sB9: 9 et dg: g = - d
  33. Ergo Vve+ v= SDqP: 9 et d9: q- d Quod experiamur
  34. 1
  35. differentiata aeq. 15. Cut fiacta ) vV + dqu + 29) vdo + quo -B9 =0
  36. 9dy WV
  37. Et divisis omnibus per 9, et pro ponendi dq: g ponendo - d, fiet
  38. VS VV +5V - 2Y Vd - de +D = 0 prorsus ut erat in aeq. 15
  39. Videamusjam du aequatio data du = b
  40. (1)
  41. Invenimus ergo si proposita sit aequatio +)d VB + dv + B - 2 Vdv. dv = 0
  42. e
  43. ..
  44. d)
  45. et
  46. fore Vov + V = (B9: 9 posito dq: q- -d. Videamus an ad formam Aequationi,
  47. datae reduci possit data dy = b ydy + cy + e, faciendo y = v + Y,
  48. et fiet -dy = . =dt CB - dv
  49. Abydy =
  50. Abdr V abrdr +bxdo + brdo
  51. C V + er
  52. ydy = vdvt var
  53. rdverar
  54. es
  55. Suv A + B) P Vav - do
  56. X vv Atbir -r + b vdv - dv
  57. 1- bY
  58. obrar
  59. + eY
  60. I.br
  61. 1abV
  62. (5) bdr+C
  63. (1e
  64. l 2 i
  65. C3. 1-bY
  66. Jam (V)5)- d(V) -0 _bb dr + bC EBC -ab + brao = bbdr - brab fictet bclo
  67. ita nihil servit Y.
  68. d) = 8. 1- brdb + bbdrabrab
  69. Exb sit

Cite

LBr. 560 · L'Hospital, fol. 26r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-855907:0051?run=74